TITLE:
An Inverse Eigenproblems for Pseudo-Symmetric Matrices
AUTHORS:
Ran Su, Yingjie Lei, Fanhua Li
KEYWORDS:
Inverse Spectral Problem, Pseudo-Symmetric, A Banana Tree, Spectral Data
JOURNAL NAME:
Open Access Library Journal,
Vol.10 No.12,
December
28,
2023
ABSTRACT: In this paper, we explore the inverse spectral problem for a kind of pseudo-symmetric matrix A(ε,c,s) that corresponds to a graph of a banana tree when all ε=1. The problem of reconstructing pseudo-symmetric matrices from their spectra was considered. The sufficient and necessary conditions for the existence of these matrices are provided, and an algorithm and numerical example were provided to illustrate their characteristics. In addition, the effectiveness of the solution was validated using MatlabR2021b.